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Finding the Third Proportional to 1,270,966 and 2,646,476

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Solution

The third proportional to 1,270,966 and 2,646,476 is: 5,510,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,966 : 2,646,476 = 2,646,476 : x
  2. Step 2: Convert to fraction form
    1,270,966/2,646,476 = 2,646,476/x
  3. Step 3: Cross multiply
    1,270,966x = 2,646,476 × 2,646,476
  4. Step 4: Simplify right side
    1,270,966x = 7,003,835,218,576
  5. Step 5: Solve for x
    x = 7,003,835,218,576/1,270,966
  6. Step 6: Final answer
    x = 5,510,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.